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professor190 [17]
3 years ago
5

A garden table and a bench cost $854 combined. The garden table costs $46 less than the bench. What is the cost of the bench?

Mathematics
1 answer:
lora16 [44]3 years ago
4 0

Answer:

$808

Step-by-step explanation:

Subtract 46 from 854

854-46=808 this is wrong sorry. I feel really bad

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Complete each statement in the steps to solve x2 – 6x – 7 = 0 using the process of completing the square. Isolate the constant b
Vera_Pavlovna [14]

Answers: Using the process of completing the square:

1. Isolate the constant by <u>adding 7 to</u> both sides of the equation:

x^2-6x-7+7=0+7

x^2-6x=7

2. Add <u>9</u> to both sides of x2 – 6x = 7 to form a perfect square trinomial while keeping the equation balanced:

x^2-6x+9=7+9

x^2-6x+9=16

3. Write the trinomial x2 – 6x + 9 as squared:

<u>(x-3)^2</u> = 16

4. Use the square root property of equality to get x – 3 = ±<u>4</u> .

sqrt[ (x-3)^2 ] = ± sqrt(16)

x-3 = ±4

5. Isolate the variable to get solutions of –1 and 7.

x-3 = ±4

x-3+3 = ±4+3

x = ±4+3

x1=-4+3→x1=-1

x2=+4+3→x2=7

4 0
4 years ago
Read 2 more answers
How to write a mixed number
NeTakaya

Answer:

To convert a mixed fraction to an improper fraction, follow these steps:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Step-by-step explanation:


8 0
3 years ago
(x-1)(x-3)(x+5)(x+7)=297
mihalych1998 [28]

First simplify the expression into polynomial form,

(x-1)(x-3)(x+5)(x+7)=297

x^4+8x^3-10x^2-104x+105=297

x^4+8x^3-10x^2-104x-192=0

Now factor into,

(x-4)(x+8)(x^2+4x+6)=0

Which means the solutions are,

x-4=0\implies\boxed{x_1=4}

x+8=0\implies\boxed{x_2=-8}

and then two complex solutions because determinant of the third factor D\lt0,

x^2+4x+6=0

x^2+4x+4=-2

(x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}

Hope this helps :)

5 0
3 years ago
Read 2 more answers
7x+4=7x+-4 help pls
Lesechka [4]

Answer:

-8

Step-by-step explanation:

5 0
3 years ago
F(x)=3x^2-6x+5 in f(x)=a(x-h)^2+k form
tia_tia [17]
The answer is B. hope i helped
8 0
3 years ago
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